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Finding the Fourth Proportional to 779,011, 1,075,035.18 and 421,315

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Solution

The fourth proportional to 779,011, 1,075,035.18 and 421,315 is: 581,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,011 : 1,075,035.18 = 421,315 : x
  2. Step 2: Convert to fraction form
    779,011/1,075,035.18 = 421,315/x
  3. Step 3: Cross multiply
    779,011x = 1,075,035.18 × 421,315
  4. Step 4: Simplify right side
    779,011x = 452,928,446,861.70
  5. Step 5: Solve for x
    x = 452,928,446,861.70/779,011
  6. Step 6: Final answer
    x = 581,414.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.